GMAT Flashcards: Quant, Verbal & Data Insights Decisions

300 original flashcards for current-format GMAT Quant, Verbal, and Data Insights concepts, cues, and reusable decisions.

За това тесте

GMAT Flashcards: Quant, Verbal & Data Insights Decisions

Build quick recall for the current GMAT with 300 original cards across Quantitative Reasoning, Verbal Reasoning, and Data Insights. The deck focuses on reusable concepts and decisions; full-length practice belongs in official or properly licensed question banks.

What the cards map

  • Quant maps numeric forms, terms, rules, and formulas to their meaning, conditions, or use. Short scenarios ask for the operation, equation, or answer check that fits.
  • Verbal maps passage and argument cues to purpose, scope, evidence, inference, reasoning flaws, and evaluation moves.
  • Data Insights maps targets, constraints, source and display cues, metrics, and evidence states to the interpretation or decision they support. It covers Data Sufficiency, Multi-Source Reasoning, Table Analysis, Graphics Interpretation, and Two-Part Analysis.

Learning order

The mixed sequence keeps all three sections in rotation. Quant foundations come before algebra, models, and strategy checks; passage reading comes before argument evaluation; shared data literacy comes before the five Data Insights formats. Closely related prompts are spaced apart so one card does not cue the next.

Current-format boundary

This deck has no geometry lessons or formula drills, Sentence Correction, or the retired Integrated Reasoning section. It also excludes timing, scoring, test-center policy, full passages, large data sets, and response-pattern tricks.

Every card is an original compact concept or decision prompt. No official or competitor questions, answer choices, explanations, mark schemes, curriculum text, logos, or trade dress were copied or adapted. See the official GMAT exam content and Data Insights preparation guidance for the current exam boundary.

This is an independent, unofficial study resource. It is not affiliated with, endorsed by, or sponsored by the Graduate Management Admission Council (GMAC). GMAT is used only to identify the exam.

Карти в това тесте

  1. Карта 1

    Въпрос

    Which numerator-and-denominator operation creates an equivalent fraction?

    Отговор

    Multiply or divide the numerator and denominator by the same nonzero number. The fraction's value stays unchanged.

  2. Карта 2

    Въпрос

    What does data sufficiency ask you to determine?

    Отговор

    Whether the information guarantees one answer. You usually don’t need to calculate that answer.

  3. Карта 3

    Въпрос

    How do you form a passage's main idea?

    Отговор

    Combine the passage's central topic with its main claim about that topic. The answer should cover the whole passage at the right level.

  4. Карта 4

    Въпрос

    What does multiplying a decimal by 10ⁿ do when n is a positive integer?

    Отговор

    It moves the decimal point n places to the right. Dividing by 10ⁿ moves it n places left.

  5. Карта 5

    Въпрос

    What makes information sufficient for a value question?

    Отговор

    It forces exactly one value for the target. Different values that satisfy all conditions make it insufficient.

  6. Карта 6

    Въпрос

    How do you identify the passage's primary purpose?

    Отговор

    Name what the author is doing with the topic: explaining, comparing, challenging, defending, or proposing. Keep content and action together.

  7. Карта 7

    Въпрос

    How do you find p percent of a quantity q?

    Отговор

    Compute (p/100) × q. Translate “of” as multiplication.

  8. Карта 8

    Въпрос

    How can two valid cases prove insufficiency?

    Отговор

    Make the cases produce different answers to the question. One clean counterexample pair is enough.

  9. Карта 9

    Въпрос

    How do you determine a paragraph's role?

    Отговор

    Connect the paragraph to what comes before and after it. Decide whether it introduces, supports, qualifies, contrasts, applies, or concludes the larger discussion.

  10. Карта 10

    Въпрос

    A total of 45 is split in the ratio 2:3. What are the two parts?

    Отговор

    18 and 27. The five ratio units are worth 45 ÷ 5 = 9 each.

  11. Карта 11

    Въпрос

    Why can an integer restriction change sufficiency?

    Отговор

    It removes noninteger possibilities. A range containing many real numbers may contain only one integer.

  12. Карта 12

    Въпрос

    When is a product of signed factors negative?

    Отговор

    Provided no factor is zero, an odd number of negative factors gives a negative product, while an even number gives a positive product. If any factor is zero, the product is zero.

  13. Карта 13

    Въпрос

    How should two data-sufficiency statements be tested initially?

    Отговор

    Test each statement independently against the stem. Do not carry information from one statement into the other.

  14. Карта 14

    Въпрос

    What makes an integer greater than 1 prime?

    Отговор

    It has exactly two positive divisors: 1 and itself.

  15. Карта 15

    Въпрос

    What should you do first on a detail question?

    Отговор

    Return to the relevant lines and read their local context. Memory tends to preserve the topic while blurring qualifications.

  16. Карта 16

    Въпрос

    What is the divisibility rule for 2?

    Отговор

    The last digit must be even: 0, 2, 4, 6, or 8.

  17. Карта 17

    Въпрос

    How do you test whether a fact is relevant?

    Отговор

    Connect it to the requested target. A true fact that does not narrow the target adds no decision value.

  18. Карта 18

    Въпрос

    How far may a reading inference go beyond the text?

    Отговор

    Only as far as the text strongly supports. Prefer the smallest justified step and reject claims needing outside knowledge.

  19. Карта 19

    Въпрос

    Why is prime factorization useful in GMAT arithmetic?

    Отговор

    It exposes divisibility, factors, greatest common factors, least common multiples, and perfect powers.

  20. Карта 20

    Въпрос

    What must happen before quantities with different units are combined?

    Отговор

    First confirm that their dimensions are compatible, then convert them to a common unit. Keep the unit attached through the calculation to catch mismatches.

  21. Карта 21

    Въпрос

    How do you apply a passage principle to a new case?

    Отговор

    Extract the principle's required conditions, then test whether the new case has them. Surface similarity isn't enough.

  22. Карта 22

    Въпрос

    Which relationship connects distance, rate, and time?

    Отговор

    Distance = rate × time. Rearrange only after the units are compatible.

  23. Карта 23

    Въпрос

    How do you find a least common multiple from prime factorizations?

    Отговор

    Take every prime that appears, using the largest exponent present.

  24. Карта 24

    Въпрос

    How do you multiply powers with the same base?

    Отговор

    Add the exponents: aᵐ × aⁿ = aᵐ⁺ⁿ.

  25. Карта 25

    Въпрос

    How is a weighted average computed?

    Отговор

    Divide the total weighted value by the total weight. For groups, use group size as the weight unless another weight is given.

  26. Карта 26

    Въпрос

    What should a quick passage map record?

    Отговор

    Each paragraph's role and major viewpoint, plus the passage's overall direction. Record structure, not a sentence-by-sentence summary.

  27. Карта 27

    Въпрос

    What does the principal square root symbol √x return?

    Отговор

    For real x ≥ 0, it is the nonnegative number whose square is x. For example, √9 = 3, not ±3.

  28. Карта 28

    Въпрос

    When can bounds replace exact arithmetic?

    Отговор

    When the bounds separate the viable decisions. Stop once every value in the interval leads to the same choice.

  29. Карта 29

    Въпрос

    How do you keep viewpoints separate?

    Отговор

    Attach each claim to its speaker: author, critic, researcher, or group. Track agreement, disagreement, and any later qualification.

  30. Карта 30

    Въпрос

    How do “sum,” “product,” and “quotient” translate into algebra?

    Отговор

    They mean addition, multiplication, and division, respectively.

  31. Карта 31

    Въпрос

    How do you reduce a fraction to lowest terms?

    Отговор

    Divide the numerator and denominator by their greatest common factor.

  32. Карта 32

    Въпрос

    What evidence should determine the author's tone?

    Отговор

    Evaluative words, qualifications, and the treatment of competing views. Topic alone doesn't establish approval, concern, or skepticism.

  33. Карта 33

    Въпрос

    When should rounding usually occur?

    Отговор

    At the end, unless estimation already settles the decision. Early rounding can move a result across a cutoff.

  34. Карта 34

    Въпрос

    How do you convert a terminating decimal to a fraction?

    Отговор

    Write the digits over the matching power of 10, then reduce. For example, 0.375 = 375/1000 = 3/8.

  35. Карта 35

    Въпрос

    When should you stop calculating in a sufficiency problem?

    Отговор

    As soon as uniqueness is proved or disproved. More arithmetic cannot change the sufficiency decision.

  36. Карта 36

    Въпрос

    How do you spot an out-of-scope answer?

    Отговор

    It introduces a person, period, cause, or consequence the passage doesn't address. Being reasonable doesn't make it textually supported.

  37. Карта 37

    Въпрос

    What is the percent-change formula?

    Отговор

    For original > 0, percent change = (new − original) / original × 100%. Percent change from zero is undefined; negative baselines require context-specific interpretation.

  38. Карта 38

    Въпрос

    What makes information sufficient for a yes-or-no question?

    Отговор

    It forces the same yes-or-no answer in every valid case. The underlying value may still vary.

  39. Карта 39

    Въпрос

    What preserves a ratio when its quantities are scaled?

    Отговор

    Multiplying or dividing both terms by the same nonzero factor preserves the ratio.

  40. Карта 40

    Въпрос

    How do you reject a main-idea answer with the wrong scope?

    Отговор

    Compare it with the whole passage. A detail-only answer is too narrow; a claim extending beyond the passage is too broad.

  41. Карта 41

    Въпрос

    Why should you track whether a variable is positive, negative, or zero?

    Отговор

    Sign controls valid cases and operations. Squaring can hide sign, and division requires a nonzero denominator.

  42. Карта 42

    Въпрос

    How do you simplify subtraction of a negative number?

    Отговор

    Change it to addition: a − (−b) = a + b.

  43. Карта 43

    Въпрос

    Whose purpose matters in a primary-purpose question?

    Отговор

    The passage author's purpose. A theory or researcher may be described at length without representing what the author ultimately wants to do.

  44. Карта 44

    Въпрос

    When is the on-screen calculator most useful?

    Отговор

    For tedious arithmetic after the setup is clear. It does not replace choosing the right relationship or denominator.

  45. Карта 45

    Въпрос

    In Data Sufficiency, what stem information applies when testing either statement?

    Отговор

    Everything in the question stem. Stem facts remain active for each statement and for the combination.

  46. Карта 46

    Въпрос

    What is the divisibility rule for 3?

    Отговор

    The sum of the digits must be divisible by 3.

  47. Карта 47

    Въпрос

    What does a transition paragraph often do?

    Отговор

    It closes one line of thought and sets up the next. Its role depends on both sides, not only on its first sentence.

  48. Карта 48

    Въпрос

    When is a proxy measure useful?

    Отговор

    When evidence shows it reliably tracks the target for the intended decision. Correlation may support prediction, but it proves neither causation nor suitability on its own.

  49. Карта 49

    Въпрос

    How do you find a greatest common factor from prime factorizations?

    Отговор

    Take each shared prime to the smaller exponent.

  50. Карта 50

    Въпрос

    What is the arithmetic mean?

    Отговор

    The sum of the values divided by the number of values.

  51. Карта 51

    Въпрос

    What units should a rate have?

    Отговор

    One quantity per another, such as kilometers per hour. The denominator tells you what the rate is measured against.

  52. Карта 52

    Въпрос

    How do you divide powers with the same nonzero base?

    Отговор

    Subtract the exponents: aᵐ ÷ aⁿ = aᵐ⁻ⁿ.

  53. Карта 53

    Въпрос

    What makes a paraphrase faithful to a passage detail?

    Отговор

    It preserves the original meaning, scope, and certainty in different words. Shared keywords alone don't make it accurate.

  54. Карта 54

    Въпрос

    How do you recover a total from an average?

    Отговор

    Total = average × number of values.

  55. Карта 55

    Въпрос

    How do you choose between two plausible reading inferences?

    Отговор

    Choose the one with the tighter textual chain and fewer assumptions. Plausibility in the real world is secondary.

  56. Карта 56

    Въпрос

    What quick check can catch a calculator-entry error?

    Отговор

    Estimate the order of magnitude and direction first. An exact result far outside that range deserves another look.

  57. Карта 57

    Въпрос

    How do you simplify a square root with a perfect-square factor?

    Отговор

    Factor out the perfect square. For example, √72 = √(36 × 2) = 6√2.

  58. Карта 58

    Въпрос

    What makes a new example parallel to one in the passage?

    Отговор

    The same logical relationship. Match cause, contrast, exception, or function rather than shared subject matter.

  59. Карта 59

    Въпрос

    When can work rates be added?

    Отговор

    Add the stated constant rates when the workers operate simultaneously without interfering with one another. At 1/4 and 1/6 job per hour, together they complete 5/12 job per hour.

  60. Карта 60

    Въпрос

    What is the denominator in a percent comparison?

    Отговор

    The stated reference value. “A as a percent of B” means A divided by B, then multiplied by 100.

  61. Карта 61

    Въпрос

    How do you translate “5 less than x”?

    Отговор

    x − 5. The phrase “less than” reverses the spoken order.

  62. Карта 62

    Въпрос

    In Data Sufficiency, what should you check before testing values?

    Отговор

    The full domain. Honor stated restrictions and implicit ones such as positive lengths or nonzero divisors before judging sufficiency.

  63. Карта 63

    Въпрос

    How do you add fractions with different denominators?

    Отговор

    Rewrite them with a common denominator, then add the numerators. For example, 2/3 + 1/4 = 8/12 + 3/12 = 11/12.

  64. Карта 64

    Въпрос

    How do you distinguish description from argument in a passage?

    Отговор

    Description presents what happened or what a view says; argument gives reasons to accept, reject, or revise a claim.

  65. Карта 65

    Въпрос

    How should you compare decimals with different lengths?

    Отговор

    Append trailing zeros and compare place by place. For example, compare 0.47 with 0.4700, which are equal.

  66. Карта 66

    Въпрос

    How should combined statements be evaluated?

    Отговор

    Intersect their constraints with the stem. The combination is sufficient only if every remaining case gives one answer.

  67. Карта 67

    Въпрос

    How do you find common ground between two viewpoints?

    Отговор

    Look for the narrow claim both accept, even if they disagree about its cause, importance, or implications.

  68. Карта 68

    Въпрос

    How do you solve a proportion such as a/b = c/d?

    Отговор

    Cross-multiply to get ad = bc, provided b and d are nonzero.

  69. Карта 69

    Въпрос

    How is average speed computed?

    Отговор

    Total distance divided by total time. It is not usually the simple mean of the segment speeds.

  70. Карта 70

    Въпрос

    What does |x| represent?

    Отговор

    The nonnegative distance from x to 0 on the number line.

  71. Карта 71

    Въпрос

    Why are strongly emotional tone descriptions often wrong?

    Отговор

    They overstate measured academic prose. Match the answer's intensity to the author's actual language.

  72. Карта 72

    Въпрос

    What is the divisibility rule for 4?

    Отговор

    The number formed by the last two digits must be divisible by 4.

  73. Карта 73

    Въпрос

    Can the ordinary percent-change formula be applied directly when the original value is zero or negative?

    Отговор

    No. The ordinary GMAT rule assumes original > 0. Change from zero is undefined, and a negative baseline requires context-specific interpretation.

  74. Карта 74

    Въпрос

    Why can a true statement still be a wrong answer?

    Отговор

    It may not answer the question asked. Check the task—main idea, detail, inference, role, or purpose—before checking truth.

  75. Карта 75

    Въпрос

    When must a weighted average lie between its component values?

    Отговор

    When every weight is nonnegative and the total weight is positive. The average then lies between the smallest and largest component values.

  76. Карта 76

    Въпрос

    How do you express an integer n divided by d with remainder r?

    Отговор

    n = dq + r, where q is an integer and 0 ≤ r < d for positive d.

  77. Карта 77

    Въпрос

    What does an inequality usually provide?

    Отговор

    A range, not a unique value. It can still be sufficient if the question asks whether a threshold is crossed.

  78. Карта 78

    Въпрос

    How should you handle an EXCEPT detail prompt?

    Отговор

    Verify four statements against the passage and select the one that isn't supported. Keep the reversed task visible while checking each choice.

  79. Карта 79

    Въпрос

    How should you set up a unit conversion?

    Отговор

    Multiply by a conversion factor equal to 1, placing units so the unwanted unit cancels.

  80. Карта 80

    Въпрос

    Can two individually insufficient statements remain insufficient together?

    Отговор

    Yes. They may repeat the same limitation or still leave multiple valid answers.

  81. Карта 81

    Въпрос

    For a positive base, how do you simplify a power raised to another power?

    Отговор

    Multiply the exponents: (aᵐ)ⁿ = a^(mn).

  82. Карта 82

    Въпрос

    When can you infer that an author accepts a claim?

    Отговор

    When the author endorses it directly or relies on it without distancing language. Merely reporting another person's view isn't endorsement.

  83. Карта 83

    Въпрос

    How should successive percentage changes be combined?

    Отговор

    Multiply their factors. A 10% rise followed by a 10% fall gives 1.10 × 0.90 = 0.99, a 1% net fall.

  84. Карта 84

    Въпрос

    What are compatible numbers in estimation?

    Отговор

    Nearby numbers chosen to make mental arithmetic easy, such as 203 ÷ 9.9 ≈ 200 ÷ 10 = 20.

  85. Карта 85

    Въпрос

    Which constraints are easy to overlook in a word problem?

    Отговор

    Countability, positivity, distinctness, and capacity limits. Translate each noun and rule into a usable constraint.

  86. Карта 86

    Въпрос

    How do you state the exact disagreement between two viewpoints?

    Отговор

    Identify one claim that one side accepts and the other rejects. Don't substitute a topic that only one side discusses.

  87. Карта 87

    Въпрос

    How do you represent three consecutive integers?

    Отговор

    n, n + 1, and n + 2 for an integer n.

  88. Карта 88

    Въпрос

    How do percentage points differ from percent change?

    Отговор

    Percentage points are the direct difference between percentages. Moving from 20% to 25% is 5 points and a 25% relative increase.

  89. Карта 89

    Въпрос

    What is a reversed-relationship trap?

    Отговор

    It swaps cause and effect, support and conclusion, or the positions of two viewpoints while reusing familiar passage language.

  90. Карта 90

    Въпрос

    How do you multiply two fractions?

    Отговор

    Multiply numerator by numerator and denominator by denominator, canceling common factors when convenient.

  91. Карта 91

    Въпрос

    How do direct and inverse proportion differ?

    Отговор

    Direct: y = kx; inverse: y = k/x for x ≠ 0.

  92. Карта 92

    Въпрос

    How do you recover an original value after a percentage increase?

    Отговор

    Divide the new value by the growth factor. After a 20% increase, original = new ÷ 1.20.

  93. Карта 93

    Въпрос

    When should absolute wording raise suspicion?

    Отговор

    When the passage is qualified. Words such as always, never, entirely, and impossible require equally strong textual support.

  94. Карта 94

    Въпрос

    What should you identify first in Data Sufficiency?

    Отговор

    The exact target and answer type. Decide whether the stem asks for a value, a comparison, or a yes-or-no result.

  95. Карта 95

    Въпрос

    What ending makes an integer divisible by 5 or by 10?

    Отговор

    A last digit of 0 or 5 gives divisibility by 5; a last digit of 0 gives divisibility by 10.

  96. Карта 96

    Въпрос

    How should a Data Sufficiency condition be handled?

    Отговор

    Translate it into a precise constraint before testing sufficiency. Keep it separate from the conclusion you want.

  97. Карта 97

    Въпрос

    How do you reject a half-right answer?

    Отговор

    Test every part of it. One accurate clause can't rescue a second clause that distorts the passage or exceeds its scope.

  98. Карта 98

    Въпрос

    When you convert a positive measurement to a smaller linear unit, what happens to its numerical value?

    Отговор

    It increases. Multiply by the number of smaller units in one larger unit.

  99. Карта 99

    Въпрос

    DS example: Is x > 5? Statement: x > 3. Is the statement sufficient?

    Отговор

    No. Both x = 4 and x = 6 satisfy the statement, but they answer the stem differently.

  100. Карта 100

    Въпрос

    What is a⁰ when a is nonzero?

    Отговор

    1. The nonzero-base condition matters because 0⁰ is not assigned this rule.
  101. Карта 101

    Въпрос

    Which claim is the argument trying to establish?

    Отговор

    The main conclusion. Find the claim supported by the other statements, then check that it answers the argument's central issue.

  102. Карта 102

    Въпрос

    When should the two statements be combined?

    Отговор

    When neither statement is sufficient alone. Use both constraints at once and test the remaining possibilities.

  103. Карта 103

    Въпрос

    A positive number rounds to 8.2 to the nearest tenth. What interval contains it?

    Отговор

    8.15 ≤ x < 8.25. The lower endpoint rounds up to 8.2; the upper endpoint rounds to 8.3.

  104. Карта 104

    Въпрос

    What should you check when the conclusion changes populations?

    Отговор

    Whether the evidence applies to the new population. Results from volunteers, specialists, or one age group may not transfer to everyone.

  105. Карта 105

    Въпрос

    How should test values be chosen in Data Sufficiency?

    Отговор

    Choose valid values that probe boundaries, signs, and distinct outcomes. Random easy values can miss the deciding case.

  106. Карта 106

    Въпрос

    How do you translate “A is 30% more than B”?

    Отговор

    A = 1.30B. The percentage is based on B.

  107. Карта 107

    Въпрос

    When can one equation involving two variables be sufficient for a target?

    Отговор

    When every valid solution gives the same target value, even if neither variable is unique. For example, x + y = 10 is sufficient to determine x + y.

  108. Карта 108

    Въпрос

    What does a correlation establish by itself?

    Отговор

    Only that two things vary together. It doesn't establish which one causes the other or whether a third factor causes both.

  109. Карта 109

    Въпрос

    How do you divide by a nonzero fraction?

    Отговор

    Multiply by its reciprocal. For example, 3/5 ÷ 2/7 = 3/5 × 7/2.

  110. Карта 110

    Въпрос

    Why is a ratio often insufficient for an absolute value?

    Отговор

    A ratio fixes relative size but usually leaves the scale free. Many proportional pairs can share the same ratio.

  111. Карта 111

    Въпрос

    What is the divisibility rule for 9?

    Отговор

    The sum of the digits must be divisible by 9.

  112. Карта 112

    Въпрос

    What matters most when applying a sample result to a population?

    Отговор

    Representativeness. The sample must resemble the target population on traits that could affect the result.

  113. Карта 113

    Въпрос

    What should you check after solving a squared equation?

    Отговор

    Check every allowed root. If positive and negative roots produce different target answers, the information is insufficient.

  114. Карта 114

    Въпрос

    What does a negative exponent mean?

    Отговор

    It takes the reciprocal: a⁻ⁿ = 1/aⁿ for nonzero a.

  115. Карта 115

    Въпрос

    Which baseline makes a comparison informative?

    Отговор

    The baseline relevant to the claim. Compare the outcome with what would otherwise have happened, not merely with an unrelated earlier figure.

  116. Карта 116

    Въпрос

    What risk appears when an equation factors into multiple branches?

    Отговор

    Each branch may create valid cases. Test all branches against the stem before deciding sufficiency.

  117. Карта 117

    Въпрос

    How can you compare two positive fractions quickly?

    Отговор

    Compare their cross-products. For a/b and c/d with positive denominators, compare ad with bc.

  118. Карта 118

    Въпрос

    What may be assumed from a Data Sufficiency diagram?

    Отговор

    Only marked or stated facts. Do not infer scale, equality, perpendicularity, or midpoint status from appearance.

  119. Карта 119

    Въпрос

    What multiplier represents a p percent increase or decrease?

    Отговор

    Use 1 + p/100 for an increase and 1 − p/100 for a decrease.

  120. Карта 120

    Въпрос

    Which statements count as evidence?

    Отговор

    The statements offered as reasons to accept another claim. Evidence may be factual or assumed for the argument, even if it isn't proven in real life.

  121. Карта 121

    Въпрос

    Can a mean determine an individual observation?

    Отговор

    Not by itself. A mean fixes the total, but different sets can have that total unless more constraints apply.

  122. Карта 122

    Въпрос

    What weakens a move from past evidence to a present claim?

    Отговор

    A relevant change over time. New technology, prices, rules, or behavior can make the earlier evidence a poor guide.

  123. Карта 123

    Въпрос

    A value becomes 96 after a 20% increase. What was the original value?

    Отговор

    1. Divide the final value by the growth multiplier: 96 ÷ 1.2 = 80.
  124. Карта 124

    Въпрос

    How do extreme valid cases help in Data Sufficiency?

    Отговор

    They expose whether the target can change. Test the smallest, largest, or boundary cases allowed by the conditions.

  125. Карта 125

    Въпрос

    How do you test for reverse causation?

    Отговор

    Ask whether the alleged effect could instead cause the alleged cause. Productive teams may meet more because they are productive, not the reverse.

  126. Карта 126

    Въпрос

    Must a sufficient statement make every variable unique?

    Отговор

    No. It only needs to make the requested target unique, even if other variables remain undetermined.

  127. Карта 127

    Въпрос

    A price rises 20% and then falls 20%. Does it return to its original value?

    Отговор

    No. The multipliers give 1.20 × 0.80 = 0.96, so the final price is 4% below the original.

  128. Карта 128

    Въпрос

    Why can a voluntary survey be biased?

    Отговор

    People who choose to respond may differ from those who don't. Strong opinions or extra interest can distort the sample.

  129. Карта 129

    Въпрос

    How do you expand a(b + c)?

    Отговор

    ab + ac. The outside factor multiplies every term inside the parentheses.

  130. Карта 130

    Въпрос

    What should the final Data Sufficiency decision describe?

    Отговор

    Which information set guarantees an answer. It should not report the target’s numerical value.

  131. Карта 131

    Въпрос

    What is the goal when solving a linear equation?

    Отговор

    Isolate the variable by applying equivalent operations to both sides.

  132. Карта 132

    Въпрос

    DS example: Is integer n even? Statement: n = 7. Is the statement sufficient?

    Отговор

    Yes. It guarantees one answer—no. A statement can be sufficient even when that answer is negative.

  133. Карта 133

    Въпрос

    When must an inequality sign reverse?

    Отговор

    When both sides are multiplied or divided by a negative number.

  134. Карта 134

    Въпрос

    What must be checked before comparing two groups?

    Отговор

    Whether they differ in other relevant ways. Age, experience, starting level, or incentives may explain the outcome instead.

  135. Карта 135

    Въпрос

    When is substitution preferable to elimination in a two-equation system?

    Отговор

    Use substitution when one variable is already isolated or easy to isolate; use elimination when coefficients cancel easily.

  136. Карта 136

    Въпрос

    What should you build before analyzing Multi-Source Reasoning material?

    Отговор

    A quick source map. Note what each tab or document contains, who produced it, and the relevant date or scope.

  137. Карта 137

    Въпрос

    How do you separate background from evidence?

    Отговор

    Ask whether the statement supports a claim. Background sets context; evidence does logical work in moving the argument toward a conclusion.

  138. Карта 138

    Въпрос

    Which algebraic terms can be combined?

    Отговор

    Terms with the same variable part and exponents. For example, 3x² and −5x² combine, but 3x² and 3x do not.

  139. Карта 139

    Въпрос

    When should you read the Multi-Source Reasoning question?

    Отговор

    Before a deep read of every source. The question tells you which details deserve attention.

  140. Карта 140

    Въпрос

    What is a reliable first step for an equation containing several fractions?

    Отговор

    Multiply every term by the least common denominator, then solve the simpler equation.

  141. Карта 141

    Въпрос

    Why does source provenance matter?

    Отговор

    It defines what a claim can support. An internal forecast and an audited result do not carry the same evidentiary weight.

  142. Карта 142

    Въпрос

    What should you test when evidence comes from a different setting?

    Отговор

    Whether the settings differ in a way that affects the result. A finding from one market, school, or climate may not carry over unchanged.

  143. Карта 143

    Въпрос

    What does an “and” compound inequality require?

    Отговор

    The overlap of both solution sets. A value must satisfy both conditions.

  144. Карта 144

    Въпрос

    What should you compare before combining claims from two sources?

    Отговор

    Their population, period, units, and definitions. Matching labels can hide different scopes.

  145. Карта 145

    Въпрос

    How can a third factor undermine a causal claim?

    Отговор

    It may explain both events, so their correlation no longer establishes a direct causal link by itself. Hot weather can raise both cold-drink sales and pool attendance.

  146. Карта 146

    Въпрос

    What do one, zero, or infinitely many solutions mean for two linear equations in two variables?

    Отговор

    The lines intersect once, are parallel and distinct, or are the same line, respectively.

  147. Карта 147

    Въпрос

    How should records from separate sources be linked?

    Отговор

    Use a shared key with the same meaning in both sources, such as product code and month. Do not join on a vague label alone.

  148. Карта 148

    Въпрос

    How do you factor 6x + 9?

    Отговор

    3(2x + 3). Pull out the greatest common factor.

  149. Карта 149

    Въпрос

    When does nonresponse threaten a survey result?

    Отговор

    When nonrespondents may answer differently from respondents. A high response count doesn't fix a systematic missing group.

  150. Карта 150

    Въпрос

    What is the first step when two sources seem inconsistent?

    Отговор

    Compare definitions, dates, units, and aggregation levels. Many apparent conflicts come from mismatched frames.

    Abstract study workspace with blue number blocks, amber argument notes, and teal charts around a central light.

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  151. Карта 151

    Въпрос

    When can you use the zero-product property?

    Отговор

    After rewriting a product equal to zero. If (x − 2)(x + 5) = 0, then x = 2 or x = −5.

  152. Карта 152

    Въпрос

    How does an inference differ from a stated fact?

    Отговор

    A fact appears directly in a source; an inference must follow from the sources without an extra assumption.

  153. Карта 153

    Въпрос

    Does a higher percentage by itself prove a higher count?

    Отговор

    No. The underlying totals matter. Twenty percent of 1,000 is more than fifty percent of 100.

  154. Карта 154

    Въпрос

    What does an “or” compound inequality require?

    Отговор

    The union of the solution sets. A value may satisfy either condition or both.

  155. Карта 155

    Въпрос

    What does a blank or omitted value establish?

    Отговор

    Only that the value is not provided. It does not establish zero, no change, or failure.

  156. Карта 156

    Въпрос

    How do you recognize an intermediate conclusion?

    Отговор

    It is supported by one claim and supports another. It acts as both a conclusion and a premise in the same argument.

  157. Карта 157

    Въпрос

    What should you do before writing equations for a two-quantity word problem?

    Отговор

    Define each variable with its unit, then translate one independent relationship per equation.

  158. Карта 158

    Въпрос

    Why should cross-source events be placed in time order?

    Отговор

    Sequence separates prior conditions from later outcomes and prevents using future information as an earlier cause.

  159. Карта 159

    Въпрос

    When should candidate solutions be checked in the original equation?

    Отговор

    Always after a step that may introduce solutions, especially squaring both sides or clearing variable denominators.

  160. Карта 160

    Въпрос

    How can switching from one measured outcome to another create a gap?

    Отговор

    Evidence about one metric may not support a conclusion about another. More website visits, for example, don't by themselves mean more sales.

  161. Карта 161

    Въпрос

    What makes a source relevant to a claim?

    Отговор

    It supplies evidence for a required link in the claim. Related background alone is not enough.

  162. Карта 162

    Въпрос

    How do you solve a factored polynomial inequality reliably?

    Отговор

    Find the zeros, split the number line into intervals, and test each interval's sign. Include a zero only when equality is allowed.

  163. Карта 163

    Въпрос

    Does happening first prove causation?

    Отговор

    No. The timing may fit a causal story, but coincidence or another cause can still explain the later event.

  164. Карта 164

    Въпрос

    How can you spot an unsupported cross-source conclusion?

    Отговор

    Identify the bridge between evidence and conclusion. If the sources never establish that bridge, the conclusion needs an assumption.

  165. Карта 165

    Въпрос

    What do 0 = 0 and 0 = 5 mean after simplifying an equation?

    Отговор

    0 = 0 means every allowed value is a solution; 0 = 5 means there is no solution.

  166. Карта 166

    Въпрос

    What should you verify before comparing figures from different sources?

    Отговор

    Common units and denominators. Convert first, then compare the same quantity on the same basis.

  167. Карта 167

    Въпрос

    How do you interpret |x − a| < r when r is positive?

    Отговор

    x is within r units of a: a − r < x < a + r.

  168. Карта 168

    Въпрос

    What can a larger sample improve?

    Отговор

    Precision, if the sampling method is sound. A huge biased sample can still give a confidently wrong picture of the population.

  169. Карта 169

    Въпрос

    How should a cross-source recommendation be evaluated?

    Отговор

    Apply the stated decision rule to the combined evidence. Do not substitute a personal preference for the rule.

  170. Карта 170

    Въпрос

    If a worker finishes one job in t hours, what is the worker's hourly rate?

    Отговор

    1/t of the job per hour.

  171. Карта 171

    Въпрос

    What can an average hide?

    Отговор

    The distribution. Two groups can share an average while differing sharply in range, concentration, or the number of extreme values.

  172. Карта 172

    Въпрос

    What should you confirm before submitting a Multi-Source Reasoning answer?

    Отговор

    That every required part is supported by the correct source and scope. One unsupported component can invalidate the whole decision.

  173. Карта 173

    Въпрос

    How do you find the amount of a pure component in a mixture?

    Отговор

    Concentration × total mixture amount. A 30% solution with volume 20 contains 0.30 × 20 = 6 units of the component.

  174. Карта 174

    Въпрос

    What role does a concession usually play?

    Отговор

    It acknowledges a point that weighs against the conclusion, then answers that point or limits its relevance. Don't mistake the conceded claim for the argument's main conclusion.

  175. Карта 175

    Въпрос

    When can an apparent cross-source discrepancy be resolved?

    Отговор

    When a stated difference in scope or method explains both figures. If no bridge is given, keep the conflict open.

  176. Карта 176

    Въпрос

    What is the two-set overlap formula?

    Отговор

    In A or B = in A + in B − in both. Subtract the overlap because it was counted twice.

  177. Карта 177

    Въпрос

    What should you identify first in Table Analysis?

    Отговор

    The row unit, column definitions, and any notes. This establishes what one record and each value represent.

  178. Карта 178

    Въпрос

    What is the fundamental counting principle?

    Отговор

    Multiply the choices at successive stages when each stage has a fixed number of available choices.

  179. Карта 179

    Въпрос

    Why distinguish relative change from absolute change?

    Отговор

    Relative change is the percentage change; absolute change is the amount added or lost. A 50% rise from 2 adds 1, while a 10% rise from 1,000 adds 100.

  180. Карта 180

    Въпрос

    How should a table filter be translated?

    Отговор

    Turn it into an exact inclusion rule. Apply every condition before counting or comparing rows.

  181. Карта 181

    Въпрос

    For equally likely outcomes, what is the basic probability formula?

    Отговор

    Favorable outcomes divided by total possible outcomes.

  182. Карта 182

    Въпрос

    What makes a proposed causal mechanism useful?

    Отговор

    It explains how the cause could produce the effect. A plausible, evidence-backed mechanism strengthens the causal link.

  183. Карта 183

    Въпрос

    How do you find the median?

    Отговор

    Order the values and take the middle value; for an even count, average the two middle values.

  184. Карта 184

    Въпрос

    How should numeric values be sorted?

    Отговор

    By numerical value, not digit order. For example, 12 comes after 9 in ascending order.

  185. Карта 185

    Въпрос

    What is missed when evidence includes only successful cases?

    Отговор

    The failures. Studying only surviving firms can make a strategy look safer or more effective than it is.

  186. Карта 186

    Въпрос

    Two machines have stated constant rates of 1/3 and 1/5 job per hour and operate simultaneously without interference. May their rates be added?

    Отговор

    Yes. The stated rates are constant and the machines do not interfere, so their combined rate is 1/3 + 1/5 = 8/15 job per hour.

  187. Карта 187

    Въпрос

    How should a table ratio be built when filters are involved?

    Отговор

    Derive the numerator and denominator separately from the question, then apply each filter only where it is relevant. Do not automatically filter both quantities or default to all rows.

  188. Карта 188

    Въпрос

    What quantity is conserved when two solutions are mixed without loss?

    Отговор

    The amount of the pure component. Set the sum of the starting component amounts equal to the final component amount.

  189. Карта 189

    Въпрос

    When may table rows be added directly?

    Отговор

    Only when they are disjoint parts of the same measure and use compatible units. Overlapping groups would be double-counted.

  190. Карта 190

    Въпрос

    What does n! mean for a positive integer n?

    Отговор

    The product of the positive integers from 1 through n.

  191. Карта 191

    Въпрос

    Where is the argument's logical gap?

    Отговор

    Between the evidence and the conclusion. State what must connect them without merely repeating either side.

  192. Карта 192

    Въпрос

    How do you find the number in neither of two sets?

    Отговор

    Subtract the number in the union from the total population.

  193. Карта 193

    Въпрос

    How should rates from table groups be combined?

    Отговор

    Divide the total numerator by the total denominator. Weight a group rate by its group size only when that size is the rate's denominator.

  194. Карта 194

    Въпрос

    What is wrong with moving from some cases to all cases?

    Отговор

    The conclusion is broader than the evidence. Evidence that some members have a trait doesn't show that every member does.

  195. Карта 195

    Въпрос

    When should you use a permutation?

    Отговор

    When selecting and arranging items and order matters. The number of ordered selections of r from n distinct items is n!/(n − r)!.

  196. Карта 196

    Въпрос

    Why does table granularity matter?

    Отговор

    A row-level fact may disappear or change after aggregation. Match the claim to the table’s level of detail.

  197. Карта 197

    Въпрос

    How do you find the probability that an event does not occur?

    Отговор

    1 − P(event). This is often the quickest route for “at least one” questions.

  198. Карта 198

    Въпрос

    Why does a comparable control group help test causation?

    Отговор

    It shows what happened without the suspected cause. If the groups differ mainly in that factor, the result is harder to explain another way.

  199. Карта 199

    Въпрос

    How should missing table entries be treated?

    Отговор

    As unknown unless the notes define another meaning. Exclude or include them only as the question directs.

  200. Карта 200

    Въпрос

    What is the mode of a data set?

    Отговор

    A mode is any value with the greatest frequency. Under the no-mode convention, there is no mode only when at least two distinct values all have equal frequency.

  201. Карта 201

    Въпрос

    What makes a table comparison valid?

    Отговор

    The values must have compatible measures, units, periods, populations, and definitions. Normalize only validly convertible differences; reject differences in population, period, or definition that cannot be reconciled.

  202. Карта 202

    Въпрос

    What should you check when a prediction extends a past pattern?

    Отговор

    Whether the conditions behind the past pattern will continue. A trend alone doesn't show that its causes will remain in place.

  203. Карта 203

    Въпрос

    How should a drain or other undoing process enter a work-rate equation?

    Отговор

    As a negative rate. Add productive rates and subtract rates that reverse the work.

  204. Карта 204

    Въпрос

    How can you avoid losing your place while scanning a table?

    Отговор

    Evaluate one condition at a time and mark qualifying rows mentally or on the scratchpad. Count only after the final filter.

  205. Карта 205

    Въпрос

    Can evidence that an outcome is possible show it is likely?

    Отговор

    No. Possibility only shows that an outcome can occur; probability requires evidence about how likely it is.

  206. Карта 206

    Въпрос

    What correction is needed when counting the union of three sets?

    Отговор

    Add the three individual counts, subtract all three pairwise overlaps, then add the triple overlap back once.

  207. Карта 207

    Въпрос

    When does a filtered table support a decision?

    Отговор

    When the qualifying rows satisfy the stated rule. Keep filtering, calculation, and decision as separate steps.

  208. Карта 208

    Въпрос

    When should you use a combination?

    Отговор

    When selecting items and order does not matter. The number of selections of r from n distinct items is n!/[r!(n − r)!].

  209. Карта 209

    Въпрос

    What must support a recommendation?

    Отговор

    A link from the proposed action to the stated goal. The argument also needs the action to be feasible and free of costs that defeat the goal.

  210. Карта 210

    Въпрос

    How do AND and OR change a table filter?

    Отговор

    AND requires every condition; OR requires at least one. Parenthesize mixed rules before scanning rows.

  211. Карта 211

    Въпрос

    How do you find the probability that independent events both occur?

    Отговор

    Multiply their probabilities: P(A and B) = P(A) × P(B).

  212. Карта 212

    Въпрос

    What can make an alphabetical sort misleading?

    Отговор

    Labels may contain categories or embedded numbers. Confirm whether the column is text, numeric, or chronological.

  213. Карта 213

    Въпрос

    What kind of fact most directly strengthens an argument?

    Отговор

    A fact that supports the missing link between evidence and conclusion. Merely repeating a premise adds little.

  214. Карта 214

    Въпрос

    What is the range of a data set?

    Отговор

    Maximum value minus minimum value.

  215. Карта 215

    Въпрос

    What should you check at a filter cutoff?

    Отговор

    Whether the boundary is inclusive. “At least 40” includes 40; “more than 40” does not.

  216. Карта 216

    Въпрос

    A train covers 150 miles in 3 hours at a constant rate. What is its rate?

    Отговор

    50 miles per hour. Rearrange distance = rate × time to get rate = 150 ÷ 3.

  217. Карта 217

    Въпрос

    What is the most direct way to weaken an argument?

    Отговор

    Undermine a necessary assumption connecting the evidence to the conclusion. The premises can remain true while the conclusion loses support.

  218. Карта 218

    Въпрос

    What does a tie in the sorted column imply?

    Отговор

    The tied rows share rank on that measure. Their display order does not create a performance difference.

  219. Карта 219

    Въпрос

    How do you identify a useful evaluation question?

    Отговор

    Test whether opposite answers would push the argument in opposite directions. If both answers leave the conclusion unchanged, the question isn't useful.

  220. Карта 220

    Въпрос

    What should you identify first in Graphics Interpretation?

    Отговор

    The chart type and what each visual encoding represents. Bars, lines, areas, and points support different readings.

  221. Карта 221

    Въпрос

    How do repeated identical items affect arrangement counts?

    Отговор

    For n total items, divide n! by the factorial of each repeated count. Identical items do not create new arrangements when swapped.

  222. Карта 222

    Въпрос

    What should you read before estimating a plotted value?

    Отговор

    Both axis labels, units, and category order. Position has meaning only after the axes are understood.

  223. Карта 223

    Въпрос

    How do you test whether a statement is a necessary assumption?

    Отговор

    Negate it. If that negation seriously damages the argument, the original statement was necessary.

  224. Карта 224

    Въпрос

    How do you find the probability that one of two mutually exclusive events occurs?

    Отговор

    Add their probabilities: P(A or B) = P(A) + P(B). Their overlap is zero.

  225. Карта 225

    Въпрос

    What should you verify in a chart legend?

    Отговор

    Which color, shape, or line maps to each series. Similar styling can otherwise swap the groups in your interpretation.

  226. Карта 226

    Въпрос

    What does standard deviation measure?

    Отговор

    How spread out values are around the mean. Greater dispersion means a larger standard deviation.

  227. Карта 227

    Въпрос

    What standard should an inference meet?

    Отговор

    It must follow from the given statements, without extra assumptions. Choose the modest claim the evidence guarantees.

  228. Карта 228

    Въпрос

    What does a segment’s share depend on?

    Отговор

    The correct whole. A category’s share of one region may differ from its share of the full dataset.

  229. Карта 229

    Въпрос

    For motion along the same line, when do you add or subtract two speeds to get relative speed?

    Отговор

    Add the speeds for opposite directions; subtract the smaller speed from the larger for the same direction.

  230. Карта 230

    Въпрос

    What must a paradox explanation accomplish?

    Отговор

    Make both surprising facts plausible at the same time. Rejecting either stated fact doesn't resolve the tension.

  231. Карта 231

    Въпрос

    How is a segment in a stacked bar measured?

    Отговор

    Subtract its lower boundary from its upper boundary. The upper endpoint alone is cumulative, not the segment value.

  232. Карта 232

    Въпрос

    Eight students average 70 and twelve students average 80. What is the combined mean?

    Отговор

    1. The group sizes are the weights: (8 × 70 + 12 × 80) ÷ 20 = 76.
  233. Карта 233

    Въпрос

    What is the difference between a graph’s level and its rate of change?

    Отговор

    Level is the plotted value; rate of change is the slope. A high line can still be falling.

  234. Карта 234

    Въпрос

    How should you describe a statement's role in an argument?

    Отговор

    Describe what it does, not just what it says. It may support the conclusion, present an objection, answer that objection, or illustrate a principle.

  235. Карта 235

    Въпрос

    What is P(A given B)?

    Отговор

    P(A and B) / P(B), provided P(B) > 0. Restrict the sample space to outcomes in B.

  236. Карта 236

    Въпрос

    How should slope be compared across a graph?

    Отговор

    Use change in vertical value divided by change in horizontal value. Visual steepness is reliable only on the same scales.

  237. Карта 237

    Въпрос

    A driver covers equal distances at 30 mph and 60 mph. Is the average speed 45 mph?

    Отговор

    No. Using 60 miles for each leg gives 120 miles in 3 hours, so the average speed is 40 mph.

  238. Карта 238

    Въпрос

    What should you identify first when evaluating a plan?

    Отговор

    The plan's exact goal and success measure. A proposal can produce benefits yet still fail its stated objective.

  239. Карта 239

    Въпрос

    What does a trend in a scatterplot establish?

    Отговор

    An association in the displayed data. It does not by itself establish causation or predict every individual point.

  240. Карта 240

    Въпрос

    How can you strengthen a causal explanation?

    Отговор

    Rule out a credible alternative cause, support the proposed mechanism, or show the effect changes when the proposed cause changes.

  241. Карта 241

    Въпрос

    How can an outlier affect a graphical trend?

    Отговор

    It can pull a summary line or average away from the main cluster. Check whether the claim concerns all points or the typical pattern.

  242. Карта 242

    Въпрос

    Why do probabilities usually change when sampling without replacement?

    Отговор

    The sample space changes after each draw. Update both the favorable count and the total before multiplying conditional probabilities.

  243. Карта 243

    Въпрос

    One value in an n-value set increases by d. How does the mean change?

    Отговор

    It increases by d/n because the total rises by d while the count stays fixed.

  244. Карта 244

    Въпрос

    When does a counterexample weaken a claim?

    Отговор

    When the claim requires the counterexample not to exist. One genuine exception can defeat an absolute claim, but may barely affect a modest one.

  245. Карта 245

    Въпрос

    What is the parity of the sum of two odd integers?

    Отговор

    Even. Each odd integer is one more than an even integer, so the two extra ones add to 2.

  246. Карта 246

    Въпрос

    What can an aggregate graph hide?

    Отговор

    Differences among subgroups or periods. A stable total can coexist with large offsetting changes inside it.

  247. Карта 247

    Въпрос

    When is interpolation reasonable on a graph?

    Отговор

    When the graph implies continuity between nearby points. Do not interpolate across separate categories.

  248. Карта 248

    Въпрос

    What makes information relevant to evaluating an argument?

    Отговор

    It bears on the uncertain link the conclusion depends on. Interesting facts about the topic may still be logically irrelevant.

  249. Карта 249

    Въпрос

    How precise should a value read from a graph be?

    Отговор

    Only as precise as the scale supports. Use a defensible interval when the mark falls between ticks.

  250. Карта 250

    Въпрос

    Must a necessary assumption prove the conclusion?

    Отговор

    No. It only has to be required for the argument to work; it need not be enough to establish the conclusion on its own.

  251. Карта 251

    Въпрос

    How do you multiply positive numbers written in scientific notation?

    Отговор

    Multiply the coefficients, add the powers of 10, then adjust the coefficient to be at least 1 and less than 10.

  252. Карта 252

    Въпрос

    How should a graph-based decision be made?

    Отговор

    Translate the visual into values or bounds, then apply the stated rule. Do not decide from appearance alone.

  253. Карта 253

    Въпрос

    When is backsolving from answer choices especially useful?

    Отговор

    When the choices are concrete values and direct algebra is slower than testing them in the original conditions.

  254. Карта 254

    Въпрос

    How can axis scale distort a visual impression?

    Отговор

    Unequal intervals or a truncated baseline can magnify or compress differences. Use tick values, not apparent distance alone.

  255. Карта 255

    Въпрос

    When should you combine two statements for an inference?

    Отговор

    When they share a term or relationship that creates a guaranteed consequence. Don't combine them through an unstated causal or statistical link.

  256. Карта 256

    Въпрос

    When is a product of integers odd?

    Отговор

    Only when every factor is odd. One even factor makes the entire product even.

  257. Карта 257

    Въпрос

    What often resolves two apparently conflicting results?

    Отговор

    A hidden difference in group, time, measurement, or conditions. The results may describe different slices of the situation.

  258. Карта 258

    Въпрос

    How should equal distances on a logarithmic axis be interpreted?

    Отговор

    As equal multiplicative changes, not equal absolute changes. Read the labeled values before comparing gaps.

  259. Карта 259

    Въпрос

    Why start with a middle answer choice when backsolving ordered options?

    Отговор

    Its result often eliminates half the choices at once when the relationship is monotonic.

  260. Карта 260

    Въпрос

    What makes a Two-Part Analysis response complete?

    Отговор

    Both selections must satisfy their own column prompts under the same stem. Treat the pair as one submitted response.

  261. Карта 261

    Въпрос

    What is an analogy doing when it supports a claim?

    Отговор

    It argues that because two cases share relevant features, a result or principle from one likely applies to the other.

  262. Карта 262

    Въпрос

    How do you represent three consecutive odd integers?

    Отговор

    n, n + 2, and n + 4, where n is an odd integer.

  263. Карта 263

    Въпрос

    What should you identify before solving Two-Part Analysis?

    Отговор

    The role of each column. One may ask for a condition while the other asks for a consequence or decision.

  264. Карта 264

    Въпрос

    What values should you test first in a claim about an unspecified number?

    Отговор

    Test allowed categories that may behave differently: positive, negative, zero, fractional, and boundary values.

  265. Карта 265

    Въпрос

    How can an unchanged bottleneck defeat a plan?

    Отговор

    Improving a nonlimiting step won't improve the final outcome if another constraint still controls it. Faster ordering doesn't help when production is already full.

  266. Карта 266

    Въпрос

    How does the shared stem affect the two parts?

    Отговор

    Its definitions and constraints apply to both. Keep them fixed while testing each column’s requirement.

  267. Карта 267

    Въпрос

    How do you count the positive divisors of an integer greater than 1 from its prime factorization?

    Отговор

    Add 1 to each prime exponent, then multiply those results.

  268. Карта 268

    Въпрос

    In Two-Part Analysis, must the two selected entries be the same?

    Отговор

    In the current format, the two selected entries may be the same or different. A linkage in the stem determines whether you must reason through them jointly, not whether their values match.

  269. Карта 269

    Въпрос

    What makes evidence for a general claim strong?

    Отговор

    It should be relevant and reliable and, if case-based, come from representative cases. More evidence isn't automatically better evidence.

  270. Карта 270

    Въпрос

    How do you factor a difference of squares?

    Отговор

    Use x² − y² = (x − y)(x + y).

  271. Карта 271

    Въпрос

    When should the two Two-Part Analysis selections be solved together?

    Отговор

    When one shared relationship constrains both. Test candidate pairs against that relationship instead of solving isolated fragments.

  272. Карта 272

    Въпрос

    How can one counterexample evaluate a universal claim?

    Отговор

    One valid counterexample disproves a claim that is supposed to hold for every allowed value.

  273. Карта 273

    Въпрос

    How does an alternative explanation weaken a conclusion?

    Отговор

    It shows that the evidence can be true without the proposed explanation being true. The alternative must account for the same result.

  274. Карта 274

    Въпрос

    In Two-Part Analysis, how can one column help solve the other?

    Отговор

    A valid selection can narrow the remaining candidates when the parts share a constraint. Recheck the final pair in both columns.

  275. Карта 275

    Въпрос

    How do you test whether x² + bx + c factors into integer binomials?

    Отговор

    Look for integers r and s with r + s = b and rs = c. If they exist, the factorization is (x + r)(x + s).

  276. Карта 276

    Въпрос

    Which unknown should you evaluate first in a plan argument?

    Отговор

    A condition that could make the plan achieve or miss its goal. Focus on feasibility, response, costs, and side effects tied to that goal.

  277. Карта 277

    Въпрос

    How should a trade-off between two measures be evaluated?

    Отговор

    Apply the stated priorities or limits. An option is better only relative to the rule, not because one measure is largest.

  278. Карта 278

    Въпрос

    How can estimation screen answer choices before exact calculation?

    Отговор

    Approximate the expression's magnitude, then eliminate choices that are far too large or too small.

  279. Карта 279

    Въпрос

    In a constrained-decision Two-Part Analysis problem, what should you check before comparing candidates?

    Отговор

    Check every hard constraint first. Discard any option that breaks a required limit, then compare only the feasible candidates.

  280. Карта 280

    Въпрос

    What does a defensive assumption do?

    Отговор

    It rules out a threat that would break the argument. For example, a revenue plan may assume that its added costs won't exceed the new revenue.

  281. Карта 281

    Въпрос

    What restriction applies when a variable appears in a denominator?

    Отговор

    Exclude every value that makes the denominator zero.

  282. Карта 282

    Въпрос

    How does an objective differ from a constraint?

    Отговор

    A constraint determines what is allowed; an objective ranks the allowed options. Apply them in that order.

  283. Карта 283

    Въпрос

    Which quick checks catch many Quant answer errors?

    Отговор

    Check the sign, units, allowed range, and rough size against the question's conditions.

  284. Карта 284

    Въпрос

    What inference is safe from a statement about most members?

    Отговор

    More than half have the stated trait. You can't infer that all do, that any particular member does, or that most have another trait.

  285. Карта 285

    Въпрос

    How should a two-part threshold rule be handled?

    Отговор

    Translate each threshold with the correct inequality, including its boundary. Then test both selected values against it.

  286. Карта 286

    Въпрос

    Where can one negative sign appear in a fraction without changing its value?

    Отговор

    Before the fraction, in the numerator, or in the denominator: −(a/b) = (−a)/b = a/(−b), provided b ≠ 0.

  287. Карта 287

    Въпрос

    How does an argument choose between competing explanations?

    Отговор

    It presents evidence that one explanation handles better than the others, often by ruling out a rival prediction.

  288. Карта 288

    Въпрос

    What is an efficient way to handle two linked algebraic targets?

    Отговор

    Express both in terms of one variable or invariant. Evaluate candidate values only after the relationship is clear.

  289. Карта 289

    Въпрос

    How do you solve x² = c over the real numbers?

    Отговор

    If c > 0, x = ±√c; if c = 0, x = 0; if c < 0, there is no real solution.

  290. Карта 290

    Въпрос

    What should you check when two selected quantities form a ratio?

    Отговор

    Order and scale. The ratio A:B is not interchangeable with B:A, and proportional pairs may all fit.

  291. Карта 291

    Въпрос

    How does a positive proper fraction compare with 1?

    Отговор

    It is less than 1 because its numerator is smaller than its denominator.

  292. Карта 292

    Въпрос

    Which side effects matter when evaluating a plan?

    Отговор

    Effects that change the plan's net result or work against its goal. A small unrelated inconvenience usually doesn't matter.

  293. Карта 293

    Въпрос

    How should a two-part logical claim be tested?

    Отговор

    Separate the condition from the conclusion, then test whether each selected statement performs the requested role.

  294. Карта 294

    Въпрос

    What is the solution pattern for |x| = a over the real numbers?

    Отговор

    If a > 0, x = ±a; if a = 0, x = 0; if a < 0, there is no real solution.

  295. Карта 295

    Въпрос

    What unit check belongs in a two-part quantitative answer?

    Отговор

    Confirm that each selection has the unit requested by its column. Linked values may require different conversions.

  296. Карта 296

    Въпрос

    Why does user response matter to a plan?

    Отговор

    The plan may depend on people adopting, following, or not avoiding it. Availability alone doesn't guarantee the needed behavior.

  297. Карта 297

    Въпрос

    A response rate rises from 40% to 50%. What are the percentage-point change and the relative percent increase?

    Отговор

    The increase is 10 percentage points and 25% relative to the original rate: (50 − 40) ÷ 40 = 0.25.

  298. Карта 298

    Въпрос

    What is the final check for Two-Part Analysis?

    Отговор

    Read each column prompt with its chosen entry, then verify that the pair is jointly consistent with the stem.

  299. Карта 299

    Въпрос

    For real x and y, what two linear cases are equivalent to x² = y²?

    Отговор

    x = y or x = −y.

  300. Карта 300

    Въпрос

    How should benefits and costs be compared in a plan argument?

    Отговор

    By their net effect on the stated goal. A plan can create the intended benefit but still fail if its relevant costs are larger.

Abstract study workspace with blue number blocks, amber argument notes, and teal charts around a central light.

300 карти

GMAT Flashcards: Quant, Verbal & Data Insights Decisions

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